Question

The ratio of the speeds of two contestants Bajirao and Mastani in a 600 m race is 2:3. Bajirao has a start of 250 m. Then, Bajirao wins by:

• A. 80 m
• B. 100 m
• C. 67.5 m
• D. 60 m
• E. 75 m

Answer 1

The correct option is E

75 m

To reach the winning post Bajirao will have to cover a distance of (600 - 250) m, i.e., 350 m

When Bajirao covers 2 m, Mastani covers 3 m

When Bajirao covers 350 m, Mastani covers $(\frac{3}{2}\times 350)m$= 525m

Thus, when Bajirao reaches the winning post, Mastani covers 525 m and therefore remains 75 m behind.

Bajirao wins by 75 m.