A bus starts from a bus stand after every 50 minutes in the same direction. Mohit is walking in opposite direction with a speed of 50 km/hr. If Mohit meets each bus in 10 minutes, then what is the speed of bus?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 15 March, 2023 Shift 4)
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  1. 14.5 km/hr
  2. 15 km/hr
  3. 12.5 km/hr
  4. 10.5 km/hr

Answer (Detailed Solution Below)

Option 3 : 12.5 km/hr
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

Time interval between each bus = 50 min

Speed of Mohit = 50 km/hr

Time between each meeting by a bus = 10 min

Concept:

Relative speed is the rate at which the distance between two objects is changing over time.

Calculation:

Let the speed of bus be x km/r

Distance covered by bus in (50 – 10) = 40 minutes = Distance covered by Mohit in 10 minutes

Distance covered by bus in 40/60 = Distance covered by Mohit in 10/60

40x/60 = 50 × 10/60

x = 12.5

Hence, the speed of the bus is 12.5 km/hr.

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