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An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph
Given answer is 40 kmph How?
Given answer is 40 kmph How?
Most Upvoted Answer
An employee drives a car 10 kmph faster and reaches the office 1/2 hr ...
To solve this problem, let's break it down into steps:
Step 1: Understand the given information
We are given that the employee drives at a speed that is 10 kmph faster than usual and reaches the office half an hour earlier than usual. We are also given that the usual speed is 15 times the usual time taken.
Step 2: Define the variables
Let's define the usual speed as 'x' kmph and the usual time taken as 't' hours.
Step 3: Convert the given information into equations
From the given information, we can write the following equations:
- Speed = Distance / Time
- Usual Speed = 15 * Usual Time taken
- New Speed = Usual Speed + 10 kmph
- New Time taken = Usual Time taken - 1/2 hour
Step 4: Calculate the usual speed
We can calculate the usual speed using the equation: Usual Speed = 15 * Usual Time taken
Given that the distance is 60 km, we can substitute the values into the equation:
x = 15 * t
60 = 15 * t
t = 4 hours
Step 5: Calculate the new speed
Now that we know the usual time taken, we can calculate the usual speed and then find the new speed using the equation: New Speed = Usual Speed + 10 kmph
Substituting the values, we get:
Usual Speed = 15 * 4
Usual Speed = 60 kmph
New Speed = 60 + 10
New Speed = 70 kmph
Step 6: Check the options
The given options are:
(a) 40 kmph
(b) 60 kmph
(c) 50 kmph
(d) 70 kmph
Since the calculated new speed is 70 kmph, the correct answer is option (d) 70 kmph.
So, the new speed of the employee is 70 kmph.
Step 1: Understand the given information
We are given that the employee drives at a speed that is 10 kmph faster than usual and reaches the office half an hour earlier than usual. We are also given that the usual speed is 15 times the usual time taken.
Step 2: Define the variables
Let's define the usual speed as 'x' kmph and the usual time taken as 't' hours.
Step 3: Convert the given information into equations
From the given information, we can write the following equations:
- Speed = Distance / Time
- Usual Speed = 15 * Usual Time taken
- New Speed = Usual Speed + 10 kmph
- New Time taken = Usual Time taken - 1/2 hour
Step 4: Calculate the usual speed
We can calculate the usual speed using the equation: Usual Speed = 15 * Usual Time taken
Given that the distance is 60 km, we can substitute the values into the equation:
x = 15 * t
60 = 15 * t
t = 4 hours
Step 5: Calculate the new speed
Now that we know the usual time taken, we can calculate the usual speed and then find the new speed using the equation: New Speed = Usual Speed + 10 kmph
Substituting the values, we get:
Usual Speed = 15 * 4
Usual Speed = 60 kmph
New Speed = 60 + 10
New Speed = 70 kmph
Step 6: Check the options
The given options are:
(a) 40 kmph
(b) 60 kmph
(c) 50 kmph
(d) 70 kmph
Since the calculated new speed is 70 kmph, the correct answer is option (d) 70 kmph.
So, the new speed of the employee is 70 kmph.
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An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How?
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An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How?.
An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An employee drives a car 10 kmph faster and reaches the office 1/2 hr earlier. If the usual speed 15 times than the usual time taken. Find the new speed, if the distance is 60 km (a) 40 kmph (b) 60 kmph (c) 50 kmph (d) 70 kmph Given answer is 40 kmph How?.
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