Question

Speed distance time?

Answer 1

If they start moving towards each other simultaneously, they will meet after `1` hour.

Explanation:

If they meet at a distance`x` from the truck side,

Distance covered by truck will be :

Distance = `x` = speed x time = `145/2.5 xx t`

`=> x = 58t`------(1)

Distance covered by car will be :

distance = `145-x` = 1.5 times speed of truck x time=

`145-x`= `1.5 xx 145/2.5 xx t`

`=> -x = (145 xx1.5)/2.5 xx t - 145`

`=>-x = 87 t -145`

`=>x = 145 -87t`----(2)

equating (1) and(2):

`58 xx t = 145- 87 t`

`87t +58t = 145`

`=> 145 t =145`

`=> t =1` hour.

Answer 2

One hour.

Explanation:

Using the fact that `d=rt`, we first solve for the speed of the truck.

`145=2.5r`
`58=r`

The rate of the truck is 58 miles per hour.

Since the car is 1.5 times faster than the truck, the speed of the truck is `1.5×58` or `87` miles per hour.

Now, if the truck and the car are coming towards each other, then it is the same as combining their speed.

Therefore, `145=(58+87)t`

`145=145t`
`t=1`

It takes one hour.