SSC MTS 2024 PYQ — Question 6

SSC MTS - 23/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q6

A boat is rowed down along a river 21km in 3 hours and against a river 14km in 7 hours. Find the speed of the boat and the river.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4.5 km/h and 2.5 km/h.

Speed of boat = B
Speed of river = R

Downstream speed = B + R = 21 / 3 = 7
Upstream speed = B - R = 14 / 7 = 2

Downstream speed = 21 / 3 = 7
Upstream speed = 14 / 7 = 2

B + R = 7
B - R = 2

B = 4.5, R = 2.5

The speed of the boat is 4.5 km/h and the speed of the river is 2.5 km/h.