Two buses start at the same time from two towns that are 264 km apart and travel towards each other along the same highway. The first bus travels at a speed of 22 km/h, while the second bus travels at a speed of 26 km/h. After how much time will they meet?
5.5 hours
When two bodies move towards each other, their relative speed is the sum of their individual speeds.
Relative speed \(= 22 + 26 = 48\) km/h.
The time to meet is the distance between the towns divided by the relative speed: \(\frac{264}{48}\).
\(\frac{264}{48} = 5.5\) hours.
Hence, the two buses meet after 5.5 hours.
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Important Questions from Relative Speed
In a circular race of 2500 m, a man and a woman start from a point towards opposite directions with speeds of 37 km/h and 35 km/h, respectively. After how much time from the start of the race will they meet for the first time?
- X and Yrun a 3 km race along a circular course of length 300 m. Their speeds are in the ratio 3 : 2. If they start together in the same direction, how many times would the first one pass the other (the start-off is not counted as passing)?
A train of length 600 meters passes another train of length 1000 meters moving in the opposite direction in 96 seconds. If the speed of both the trains is the same, then what is the speed of each train?
The distance between Delhi and Patna is $480$ km. A train starts from Delhi and travels towards Patna at a speed of $60$ kmph. Another train starts from Patna towards Delhi at a speed of $80$ kmph, but starts $1$ hour after the first train. In how much time, after the first train started, will they meet each other?
Ram traveling at the speed of 3 km/h reaches 15 minutes late. Had he walked at 4 km/h, he would have reached 15 minutes earlier. How much distance does Ram have to cover?
