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A B C C D E Distance between A to C and A to E are 36 km and 68 km respectively. Distance between A to B is twice of the distance between B to C and thrice of the distance between D to E. If a cyclist takes 30 minutes to go from B to C, how long will he take to go from C to D? (A) 15 minutes (B) 30 minutes (C) 45 minutes (D) 1 hou?
Verified Answer
A B C C D E Distance between A to C and A to E are 36 km and 68 km res...
We know that the distance between A to B is twice of the distance between B to C. And the distance between A to C is 36 km. So, the distance between B to C can be found by using the following formula:
Distance between B to C = (Distance between A to C) / 3 = 36 / 3 = 12 km
We also know that the distance between A to B is thrice of the distance between D to E. And the distance between A to E is 68 km. So, the distance between D to E can be found by using the following formula:
Distance between D to E = (Distance between A to E) / 4 = 68 / 4 = 17 km
Now we know that the cyclist takes 30 minutes to go from B to C which is 12 km. So, we can use the formula Speed = Distance / Time to find the speed of the cyclist.
Speed = 12 / (30/60) = 24 km/h
Now we can use the formula Time = Distance / Speed to find the time taken by the cyclist to go from C to D.
Time = 17 / 24 = 0.708 h (approximately 42.5 minutes)
As we see that time taken is 42.5 minutes which is greater than 30 minutes, so the correct answer is (D) 1 hour
This question is part of UPSC exam. View all Class 4 courses
Most Upvoted Answer
A B C C D E Distance between A to C and A to E are 36 km and 68 km res...
Given Information:
- Distance between A to C = 36 km
- Distance between A to E = 68 km
- Distance between A to B = 2 * Distance between B to C
- Distance between A to B = 3 * Distance between D to E

Calculating Distances:
Let's calculate the distances between the given points:

- Distance between B to C = 36 km / 2 = 18 km
- Distance between D to E = 68 km / 3 = 22.67 km (approximated to 2 decimal places)

So, the distances are:
- Distance between A to B = 2 * 18 km = 36 km
- Distance between D to E = 22.67 km

Calculating Time:
Given that the cyclist takes 30 minutes to go from B to C, we need to find the time it takes to go from C to D.

Since the distance between B to C is 18 km and the cyclist takes 30 minutes to cover this distance, we can calculate the speed of the cyclist as follows:

Speed = Distance / Time
Speed = 18 km / 0.5 hours (since 30 minutes is equal to 0.5 hours)
Speed = 36 km/h

Now, to find the time it takes to go from C to D, we can use the speed of the cyclist and the distance between D to E:

Time = Distance / Speed
Time = 22.67 km / 36 km/h
Time = 0.63 hours

Since 0.63 hours is equal to 0.63 * 60 = 37.8 minutes, we can approximate the time to 38 minutes.

So, the cyclist will take approximately 38 minutes to go from C to D.

Answer:
The cyclist will take approximately 38 minutes to go from C to D.
Community Answer
A B C C D E Distance between A to C and A to E are 36 km and 68 km res...
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A B C C D E Distance between A to C and A to E are 36 km and 68 km respectively. Distance between A to B is twice of the distance between B to C and thrice of the distance between D to E. If a cyclist takes 30 minutes to go from B to C, how long will he take to go from C to D? (A) 15 minutes (B) 30 minutes (C) 45 minutes (D) 1 hou?
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A B C C D E Distance between A to C and A to E are 36 km and 68 km respectively. Distance between A to B is twice of the distance between B to C and thrice of the distance between D to E. If a cyclist takes 30 minutes to go from B to C, how long will he take to go from C to D? (A) 15 minutes (B) 30 minutes (C) 45 minutes (D) 1 hou? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about A B C C D E Distance between A to C and A to E are 36 km and 68 km respectively. Distance between A to B is twice of the distance between B to C and thrice of the distance between D to E. If a cyclist takes 30 minutes to go from B to C, how long will he take to go from C to D? (A) 15 minutes (B) 30 minutes (C) 45 minutes (D) 1 hou? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A B C C D E Distance between A to C and A to E are 36 km and 68 km respectively. Distance between A to B is twice of the distance between B to C and thrice of the distance between D to E. If a cyclist takes 30 minutes to go from B to C, how long will he take to go from C to D? (A) 15 minutes (B) 30 minutes (C) 45 minutes (D) 1 hou?.
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