Question

Tara has ridden her bike .5 miles and

rides 10 miles per hour. Felipe has
ridden his bike .25 miles and rides 15
miles per hour. For what number of
hours will-Tara have ridden less miles
than Felipe?

Answer 1

0.5 hours

Explanation:

Answer 2

0.5 hours

Explanation:

Given that Tara has covered 0.50 miles and rides with a speed of 10 miles/hour. Felipe has covered bike 0.25 miles and rides with a speed of 15 miles/hour.

Tara has covered more distance while the speed of Felipe is more than the speed of Tara.

Assuming that in time t hour, Felipe reaches Tara, then Tara left behind as Felipe has faster speed.

So, after t hour, Felipe will be ahead of Tara and Tara will cover lesser miles than Felipe .

As distance = speed x time, so

So, the distance covered by Tara in
`t` hour = 10t miles and she already has covered 0.5 miles, so total distance covered by Tara
`= 0.5+10t` miles.

Similarly, the distance covered by Felipe in
`t` hour = 15t miles and he already has covered 0.25 miles, so the total distance covered by Tara
`= 0.25+15t` miles.

Therefore, at the time then Felipe reached Tara, both have covered the same distance, i.e

`0.25+15t=0.5+10t \\\\\Rightarrow 15t-10t=0.5-0.25 \\\\\Rightarrow 5t=0.25 \\\\`

`\Rightarrow t= 0.25/5=0.5` hour

Hence, after 0.5 hours Tara will cover lesser miles than Felipe .