CUET CUET Mathematics 2024 - In a 700 ~m race, Amit reaches the finish point in 20 seconds and Rahul reaches in 25 seconds. Amit beats Rahul by a distance of : | PYQs + Solutions

CUET Mathematics 2024

Arithmetic

Time, Speed & Distance

Easy

In a $700 \mathrm{~m}$ race, Amit reaches the finish point in $20$ seconds and Rahul reaches in $25$ seconds. Amit beats Rahul by a distance of :

120 m

150 m

140 m

100 m

Correct Option: 3

- Race distance =

700

\newline

- Amit's time =

20

seconds

\newline

- Rahul's time =

25

seconds

Amit's speed

= \frac{700 \text{ m}}{20 \text{ s}} = 35 \text{ m/s}

Rahul's speed

= \frac{700 \text{ m}}{25 \text{ s}} = 28 \text{ m/s}

When Amit reaches the finish line (after 20 seconds), Rahul has only covered a portion of the race.

To find this distance, multiply Rahul's speed by the time Amit took to finish:

Rahul's distance after 20 seconds

= 28 \text{ m/s} \times 20 \text{ s} = 560 \text{ m}

Distance difference

= 700 \text{ m} - 560 \text{ m} = 140 \text{ m}