Timing a race

Algebra Level 1

A racer running at a constant pace runs 200 meters in 26 seconds. How long will it take them to complete a 1500-meter course?

Give answer in seconds.


The answer is 195.

Denton Young by Denton Young , 47, USA

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4 solutions

Ashish Menon
May 31, 2016

The answer is 26 × 1500 200 = 195 \dfrac{26 × 1500}{200} = \color{#69047E}{\boxed{195}} seconds.

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Let S be the Speed Let D be the distance Let T be the time.

From the problem, we have the given S= 200m/26sec D= 1500 T= ?

S= D/T 200m/26s= 1500/T 200T= 26(1500) T= 195

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Ahmad Ashraf
Jun 11, 2015

200m--->26sec 1500m-->?? 1500x26/200=195sec

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Denton Young
Jun 4, 2015

The racer runs 200 m in 26 sec, so 100 m takes 13 sec.

1500 m = (15 *13) = 195 sec

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Or even quicker, multiply both sides of the ratio by 7.5 7.5 .

Feathery Studio - 6 years ago

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