Discussion
Rahul starts his journey from point Q at 1 p.m. He drives the car at the speed of 42 km/hr for the first three hours and completes the remaining journey at the speed of 27 km/hr. If Rohit starts moving towards Rahul at 6 p.m. from point Q at the speed of 57 km/hr, then at what time will he catch Rahul?
Answer: C
Rahul drives 3 hours at 42 km/hr, which is 126 km by 4 p.m. After that he drives at 27 km/hr, so by 6 p.m., when Rohit starts, he is 126 + 2 x 27 = 180 km ahead. Rohit goes at 57 km/hr, so he gains 57 - 27 = 30 km each hour on Rahul. He needs 180 / 30 = 6 hours to catch him. 6 hours after 6 p.m. is 12 midnight. So Rohit catches Rahul at 12:00 AM, option (C). The times 11:30 PM, 1:00 AM and 10:30 PM would need a different gain per hour.
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