The speeds of the Shaan and Rohan are 50 km h and 30 km h respectively Initially Shaan is at a place...........

Quant (SSC) Time & distance

The speeds of the Shaan and Rohan are 50 km/h and 30 km/h respectively. Initially Shaan is at a place N and Rohan is at a place M. The distance between M and N is 710 km. Shaan started his journey 3 hours earlier than Rohan to meet each other. If they meet each other at a place R somewhere between M and N. then the distance between R and N is

210 km

500 km

430 km

620 km

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Explanation:

Distance covered by Shaan in 3 hours = 3 × 50 = 150 km
∴ Remaining distance = 710 – 150 = 560 km Relative speed
= 50 + 30 = 80 kmph
∴ They meet after = 560 /80 = 7 hours
Now, Shaan covers the total distance in (7 + 3 )= 10 hours
∴ Distaance covered by Shaan in 10 hours = 50 × 10 = 500 km
∴ Distance between R and N = 500 km.