Question

Nil and Ethan are brothers. They left theirhome at the same time and drove to thesame beach. Nil drove at a speed of 30 milesper hour. Ethan drove at a speed of 20 milesper hour. Nil arrived at the beach 0.5 hourearlier than Ethan. What is the distancebetween their home and the beach?

Answer 1

Speed of Nil = 30 miles per hour

Speed of Ethan = 20 miles per hour

Let the time it took Ethan to reach the beach = x hour

The time it took Nil to reach the beach = (x - 0.5) hour

In order to calculate the distance between their home and beach, we use the distance formula in relation to speed and time

`\text{Distance}=\text{ sp}eed* time`

Distance travelled by Nil:

`=30\text{ }*(x-0.5)`

Distance travelled by Ethan:

`20* x`

Since the distance travelled by both Nil and Ethan is the same,

Hence,

`\begin{gathered} 30*(x-0.5)=20x \\ 30x-15=20x \\ 30x-20x=15 \\ 10x=15 \\ x=1.5\text{ hour} \end{gathered}`

So,

The time it took Ethan to reach the beach is 1.5 hour. and the time it took Nil to reach the beach is (1.5 - 0.5) hour which is 1 hour.