GMAT Exam > GMAT Questions > Ted and Robin start from the same point at 7 ...
Start Learning for Free
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?
- a)195
- b)485
- c)525
- d)645
- e)675
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Ted and Robin start from the same point at 7 AM and drive in opposite ...
Given
- Ted starts at 7 AM
- Ted’s initial speed = 10 kilometers/hour
- Ted doubles his speed after every 1.5 hours
- Robin starts at 7 AM from the same point as Ted and travels in opposite directions
- Robin’s initial speed = 120 kilometers/hour
- Robin reduces her speed by half after every 2 hours
To Find: Distance between Ted and Robin at 1 PM
- Find the distance travelled by Ted in 6 hours
- Find the distance travelled by Robin in 6 hours
Approach
Distance = Speed * Time
1. We need to find the distance travelled by Ted in 6 hours As Ted doubles his speed after every 1.5 hours, he will travel at 6/1.5=4
- different speeds during the period
- We know his initial speed and we know that he doubles his speed after every interval of 1.5 hours. So, we can calculate his speed for each interval
2. We need to find the distance travelled by Robin in 6 hours
- As Robin reduces her speed after every 2 hours, she will travel at 6/2=3
- different speeds during the period
- We know her initial speed and we know that she reduces her speed by half after every interval of 2 hours. So, we can calculate her speed for each interval.
Working Out
1. Ted
2. Robin
Distance between Ted and Robin at 1 PM = 225 + 420 = 645 kilometers
Answer: D
Most Upvoted Answer
Ted and Robin start from the same point at 7 AM and drive in opposite ...
To solve this problem, we need to calculate the distances covered by Ted and Robin separately and then find the sum of their distances.
Ted's journey:
Ted doubles his speed after every 90 minutes. So, he will have different speeds during different time intervals.
From 7 AM to 8:30 AM (90 minutes):
Ted's speed = 10 km/hour
Distance covered = Speed × Time = 10 km/hour × 1.5 hours = 15 km
From 8:30 AM to 10 AM (90 minutes):
Ted's speed = 2 × 10 km/hour = 20 km/hour
Distance covered = Speed × Time = 20 km/hour × 1.5 hours = 30 km
From 10 AM to 11:30 AM (90 minutes):
Ted's speed = 2 × 20 km/hour = 40 km/hour
Distance covered = Speed × Time = 40 km/hour × 1.5 hours = 60 km
From 11:30 AM to 1 PM (90 minutes):
Ted's speed = 2 × 40 km/hour = 80 km/hour
Distance covered = Speed × Time = 80 km/hour × 1.5 hours = 120 km
Total distance covered by Ted = 15 km + 30 km + 60 km + 120 km = 225 km
Robin's journey:
Robin reduces her speed by half after every 120 minutes. So, she will have different speeds during different time intervals.
From 7 AM to 9 AM (120 minutes):
Robin's speed = 120 km/hour
Distance covered = Speed × Time = 120 km/hour × 2 hours = 240 km
From 9 AM to 11 AM (120 minutes):
Robin's speed = 120 km/hour ÷ 2 = 60 km/hour
Distance covered = Speed × Time = 60 km/hour × 2 hours = 120 km
From 11 AM to 1 PM (120 minutes):
Robin's speed = 60 km/hour ÷ 2 = 30 km/hour
Distance covered = Speed × Time = 30 km/hour × 2 hours = 60 km
Total distance covered by Robin = 240 km + 120 km + 60 km = 420 km
Total distance between Ted and Robin at 1 PM = Distance covered by Ted + Distance covered by Robin = 225 km + 420 km = 645 km
Therefore, the correct answer is option D) 645 km.
Ted's journey:
Ted doubles his speed after every 90 minutes. So, he will have different speeds during different time intervals.
From 7 AM to 8:30 AM (90 minutes):
Ted's speed = 10 km/hour
Distance covered = Speed × Time = 10 km/hour × 1.5 hours = 15 km
From 8:30 AM to 10 AM (90 minutes):
Ted's speed = 2 × 10 km/hour = 20 km/hour
Distance covered = Speed × Time = 20 km/hour × 1.5 hours = 30 km
From 10 AM to 11:30 AM (90 minutes):
Ted's speed = 2 × 20 km/hour = 40 km/hour
Distance covered = Speed × Time = 40 km/hour × 1.5 hours = 60 km
From 11:30 AM to 1 PM (90 minutes):
Ted's speed = 2 × 40 km/hour = 80 km/hour
Distance covered = Speed × Time = 80 km/hour × 1.5 hours = 120 km
Total distance covered by Ted = 15 km + 30 km + 60 km + 120 km = 225 km
Robin's journey:
Robin reduces her speed by half after every 120 minutes. So, she will have different speeds during different time intervals.
From 7 AM to 9 AM (120 minutes):
Robin's speed = 120 km/hour
Distance covered = Speed × Time = 120 km/hour × 2 hours = 240 km
From 9 AM to 11 AM (120 minutes):
Robin's speed = 120 km/hour ÷ 2 = 60 km/hour
Distance covered = Speed × Time = 60 km/hour × 2 hours = 120 km
From 11 AM to 1 PM (120 minutes):
Robin's speed = 60 km/hour ÷ 2 = 30 km/hour
Distance covered = Speed × Time = 30 km/hour × 2 hours = 60 km
Total distance covered by Robin = 240 km + 120 km + 60 km = 420 km
Total distance between Ted and Robin at 1 PM = Distance covered by Ted + Distance covered by Robin = 225 km + 420 km = 645 km
Therefore, the correct answer is option D) 645 km.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer?
Question Description
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer?.
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer?.
Solutions for Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?a)195b)485c)525d)645e)675Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup