Question

At 2:30 p.m., Cayson leaves his house and drives north to the stadium. He arrives at

5:00 p.m. Also leaving at 2:30 p.m., his brother Riley leaves his house and drives south
to a lake. He arrives at 5:30 p.m. The driving distance from the stadium to the lake is 385
mi. Cayson and Riley drove at the same speed.

What was their speed? Please show your work.

Answer 1

Leaving the house at 2:30 pm, Cayson reaches his destination in 2.5 hours i.e at 5 pm.

Leaving the house at the same time, Riley reaches his destination in 3 hours i.e 5:30 pm

Both the destinations are opposite to each other and are 385 miles apart.

Total time taken by both the brothers is equal to 3 + 2.5 = 5.5 hours

We know,
`Speed = (Distance)/(time)`

Speed =
`(385)/(5.5) = 70 mph`

Speed of both the brothers is 70 miles per hour.... Answer