Question

City Bus Corporation runs two buses from terminus A to terminus B, one from each of the terminuses such that each bus makes 5 round trips in a day. There are no stops in between. These buses ply back and forth on the same route at different but uniform speeds. Each morning the buses start at 7 AM from the respective terminuses. They meet for the first time at a distance of 7 km from terminus A. Their next meeting is at a distance of 4 km from terminus B, while travelling in opposite directions.

Accepted Answer

B. Let total distance between A and B be $P$. First meeting: distance covered by bus A = 7, total combined distance = $P$. Second meeting: total combined distance = $3P$, distance covered by bus A = $P + 4$. Since speed ratio is constant: $\frac{P+4}{7} = \frac{3P}{P} = 3 \implies P + 4 = 21 \implies P = 17$ km. Each round trip = $2 	imes 17 = 34$ km. 5 round trips per bus = $5 	imes 34 = 170$ km. Total distance for 2 buses = $2 	imes 170 = 340$ km. Total daily cost = $340 	imes 20 = 	ext{Rs. } 6800$.

City Bus Corporation Meeting Buses

Explanation

Practise this under exam conditions