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Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?
- a)2.0 hours
- b)2.5 hours
- c)3.0 hours
- d)3.5 hours
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Phil drives east from his home for 2 hours before realizing that he wi...
Given:
- Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles.
- He drives for another 10 miles east before returning back home via the same route.
- He returns home with fuel left for another 10 miles.
- He drives at a constant speed throughout his journey.
To find: How much time does Phil take for his journey eastwards?
Approach:
Let's first find out how far Phil drove eastwards before returning home.
Distance traveled eastward = (2 hours of driving before realizing he will run out of fuel) * (his constant speed)
= 2s (where s is his constant speed)
After realizing that he will run out of fuel, he drives for another 10 miles eastward before turning back. So the total distance traveled eastward before returning home = 70 + 10 = 80 miles.
Now, let's find out how far Phil could have traveled with the fuel left for another 10 miles.
Distance traveled westward with the remaining fuel = 10 miles
So the total distance traveled by Phil = Distance traveled eastward + Distance traveled westward with the remaining fuel
= 80 + 10 = 90 miles
We know that Phil drove at a constant speed throughout his journey. Let's assume his speed to be 's' miles per hour. Then we can use the formula for distance, speed, and time: distance = speed * time.
So, time taken for the journey eastwards = (distance traveled eastwards) / (speed)
= (2s + 80) / s
= 2 + 80/s
Now, we are given that Phil returns home with fuel left for another 10 miles. This means that he had to travel the same distance (90 miles) on his return journey as well. So, we can use the same formula to find the time taken for his return journey:
Time taken for the return journey = (distance traveled westward with the remaining fuel) / (speed)
= 10 / s
The total time taken for the entire journey = time taken for the journey eastwards + time taken for the return journey
= 2 + 80/s + 10/s
= 2 + 90/s
We need to find the value of 's' to get the total time taken. Unfortunately, we don't have enough information to do that. So, the answer is 'Cannot be determined'.
Therefore, the correct answer is option 'E'.
- Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles.
- He drives for another 10 miles east before returning back home via the same route.
- He returns home with fuel left for another 10 miles.
- He drives at a constant speed throughout his journey.
To find: How much time does Phil take for his journey eastwards?
Approach:
Let's first find out how far Phil drove eastwards before returning home.
Distance traveled eastward = (2 hours of driving before realizing he will run out of fuel) * (his constant speed)
= 2s (where s is his constant speed)
After realizing that he will run out of fuel, he drives for another 10 miles eastward before turning back. So the total distance traveled eastward before returning home = 70 + 10 = 80 miles.
Now, let's find out how far Phil could have traveled with the fuel left for another 10 miles.
Distance traveled westward with the remaining fuel = 10 miles
So the total distance traveled by Phil = Distance traveled eastward + Distance traveled westward with the remaining fuel
= 80 + 10 = 90 miles
We know that Phil drove at a constant speed throughout his journey. Let's assume his speed to be 's' miles per hour. Then we can use the formula for distance, speed, and time: distance = speed * time.
So, time taken for the journey eastwards = (distance traveled eastwards) / (speed)
= (2s + 80) / s
= 2 + 80/s
Now, we are given that Phil returns home with fuel left for another 10 miles. This means that he had to travel the same distance (90 miles) on his return journey as well. So, we can use the same formula to find the time taken for his return journey:
Time taken for the return journey = (distance traveled westward with the remaining fuel) / (speed)
= 10 / s
The total time taken for the entire journey = time taken for the journey eastwards + time taken for the return journey
= 2 + 80/s + 10/s
= 2 + 90/s
We need to find the value of 's' to get the total time taken. Unfortunately, we don't have enough information to do that. So, the answer is 'Cannot be determined'.
Therefore, the correct answer is option 'E'.
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Community Answer
Phil drives east from his home for 2 hours before realizing that he wi...
After 2 hours he has petrol for 70 miles
but he took 10 miles and back 10 miles and rest journy to home with extra 10 miles amount of fuel.that means he traveled 40 miles in 2 hours,but total eastward journey is 40+10=50.now use ratio method
40 miles in 2 hours
10 miles in 0.5 hours
so 50 miles in 2.5 hours
OA IS B
but he took 10 miles and back 10 miles and rest journy to home with extra 10 miles amount of fuel.that means he traveled 40 miles in 2 hours,but total eastward journey is 40+10=50.now use ratio method
40 miles in 2 hours
10 miles in 0.5 hours
so 50 miles in 2.5 hours
OA IS B
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Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. 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 Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. 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 Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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ample number of questions to practice Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?a)2.0 hoursb)2.5 hoursc)3.0 hoursd)3.5 hourse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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