Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Two runners, Ajay and Vijay complete a 600 m race in 38 seconds and 48 seconds respectively. By how many meters will Ajay defeat Vijay?

Options:

120 m

140 m

125 m

50 m

Correct Answer:

125 m

Explanation:

The correct answer is Option (3) → 125 m

Distance of race $=600$ m

Time taken by Ajay $=38$ s

Time taken by Vijay $=48$ s

Ajay’s speed

$=\frac{600}{38}$ m per s

Vijay’s speed

$=\frac{600}{48}$ m per s

In $38$ seconds, distance covered by Vijay

$=\frac{600}{48}\times38$

$=\frac{600\times38}{48}$

$=475$ m

Hence distance by which Ajay defeats Vijay

$=600-475$

$=125$ m

Ajay will defeat Vijay by $125$ metres.