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### Oliveboard Question of the day

**Question:** In a race of 1 km Nikhil beats Vijendra by 150 meter or by 8 seconds. What is the speed of Nikhil and Vijendra respectively?

**Answer Options:**

(1) 24 m/sec, 18 m/sec

(2) 22 m/sec, 18.75 m/sec

(3) 25 m/sec, 16.50 m/sec

(4) 21 m/sec, 15 m/sec

(5) 32 m/sec, 22 m/sec

#### Solution posted below. Click on the plus sign to view the solution.

### Answer and Explanation

By the given information, Vijendra covers remaining 150 meter in 8 seconds.

Hence speed of Vijendra = 150/8 = 18.75 m/sec

When Nikhil finishes the race of 1000m, Vijendra is able to run only 850 meter.

Hence speed of Nikhil = 18.75 x 1000/850 = 22 m/sec (approx)

2nd option

(2) 22 m/sec, 18.75 m/sec

2.

2.

(2) 22 m/sec, 18.75 m/sec

If Nikhil beats Vijendra by 150 meter or by 8 seconds. Then Vijendra must travel 150 meters in 8 seconds. So Vijendra speed in 150/8 = 18.75m/s . So looking at answer only one option match’s

Option 2 is the answer