Question

Two​ vehicles, a car and a​ truck, leave an intersection at the same time. The car heads east at an average speed of 20 miles per​ hour, while the truck heads south at an average speed of 50 miles per hour. Find an expression for their distance apart d​ (in miles) at the end of t hours.

Answer 1

`d = 10* t√(29)miles`

Step-by-step explanation:

Given:

't' hour be the time taken for travel by both the vehicles and 'd' be the distance between then

then

Distance traveled by the car = 20 × t miles

and

Distance traveled by the truck = 50 × t miles

now, using the Pythagoras theorem

`d = √((20t)^2+(50t)^2)`

or

`d = √(400t^2+2500t^2)`

or

`d = √(2900t^2)`

or

`d = 10* t√(29)`

thus, the equation relating the distance 'd' with the time 't' comes as

`d = 10* t√(29)miles`