Two towns P and Q are 275 km apart. A motorcycle rider starts from P towards Q at 10:00 a.m. at the speed of 25 km/h. Another rider starts from Q towards P at 12 noon on the same day at the speed of 20 km/h. At what time will they cross each other?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5:00 p.m.
Given that
Distance between the two points = 275 km
Speed of first rider = 25 km/hr
Distance traveled by him in 2 hours from 10 a.m to 12 noon = 25 × 2 = 50 km
Distance left = 275 - 50 = 225 km
Relative speed of the two riders = 25 + 20 = 45 km/hr
Formula used
Speed =
Hence, 45 =
⇒ time = 5
Hence they will cross each other 5 hours after 12 noon = 5 : 00 pm.