Two cyclists start riding towards each other from towns X and Y, which are 144 km apart. They start at the same time, 07:00 AM. One cyclist ride at 48 km/h and the other at 24 km/h.

Consider the following statements:
Statement I: The cyclists will meet at 09:00 AM.
Statement II: By the time they meet, the faster cyclist will have covered 120 km.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Two cyclists start riding towards each other from towns X and Y, which are 144 km apart. They start at the same time, 07:00 AM. One cyclist ride at 48 km/h and the other at 24 km/h.

Consider the following statements:
Statement I: The cyclists will meet at 09:00 AM.
Statement II: By the time they meet, the faster cyclist will have covered 120 km.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Relative speed = 48 + 24 = 72 km/h
Distance = 144 km
Time to meet = 144 / 72 = 2 hours
Meeting time = 07:00 AM + 2 hours = 09:00 AM
Distance covered by faster cyclist = 2 &times; 48 = 96 km
Statement I: Meeting time is 09:00 AM &rarr; Correct
Statement II: Faster cyclist covers 96 km &rarr; Incorrect
Hence, option a is correct.

Speed, Time and Distance

Relative Speed

Website Link

Test Your Knowledge

Student Resources


M Question 1	⏱ 0
Two cyclists start riding towards each other from towns X and Y, which are 144 km apart. They start at the same time, 07:00 AM. One cyclist ride at 48 km/h and the other at 24 km/h. Consider the following statements: Statement I: The cyclists will meet at 09:00 AM. Statement II: By the time they meet, the faster cyclist will have covered 120 km. Select the correct answer from below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.