Question : Two cities A and B are 135 km apart on a straight track. One car starts from A at 8 a.m. and travels towards B at 25 km/hr. Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/hr. At what time will they meet?
Option 1: 11 a.m
Option 2: 10 a.m
Option 3: 10.45 a.m
Option 4: 11.30 a.m
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Correct Answer: 11 a.m
Solution :
Let the bus and car meet after time t hours from 9 a.m.
Total distance covered by car and bus together = Total distance between cities = 135 km
Distance travelled by car moving at 25 km/hr from 8 a.m. = 25(t + 1) km
Distance travelled by bus moving at 30 km/h from 9 a.m. = 30(t) km
Total distance covered by car and bus together = 135 km
So, 25 (t + 1) + 30(t) = 135
⇒ 55t = 110
⇒ t = 2 hours
So, they meet after 2 hours from 9 a.m. That is, at 11 a.m.
Hence, the correct answer is 11 a.m.
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