Question

The 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean because the speed was 4 mph less than the speed to the ranch. What were the speed and time for each trip?
Please help will give brainliest out right away

Answer 1

The mph on the way to the ranch was 57 mph.
The mph on the way to the ocean was 53 mph.

Hope this helps!! (If not sorry!)

Answer 2

Alright, lets get started.

Suppose the speed to the ranch = x mph

So, speed to the ocean will be = (x-4) mph (because the speed was 4 mph less than the speed to the ranch)

Distance to the ranch = 888 miles

time moving to the ranch $= \frac{distance}{speed}$

time moving to the ranch $= \frac{888}{x}$

time moving to the ocean $= \frac{280}{x-4}$

As per given in question, the 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean , means

$\frac{888}{x} = 3 * \frac{280}{x-4}$

$\frac{888}{x}= \frac{840}{x-4}$

Corss multiplying

$888 (x-4) = 840 x$

$888 x - 3552 = 840 x$

$48 x = 3552$

$x=74$

Hence speed to ranch = 74 mph

Hence speed to ocean = $74 - 4 = 70$ mph

time for trip to ranch = $\frac{888}{74} = 12$ hrs

time for trip to ocean = $\frac{280}{70} = 4$ hrs

So, speed to ranch is 74 mph and trip time is 12 hrs and speed to ocean is 70mph and time is 4 hrs.

Hope it will help :)