Question

55) James left the science museum driving east 1.6 hours before Kim. Kim drove in the opposite direction going 24 km/h slower than James for 1.8 hours after which time they were 258.4 km apart. How fast did James drive?
Please show ur work, I already have the answer but I need to know how to do it. If your answer matched up with the answer key and is correct with work I will give brainliest

Answer 1

9514 1404 393

Answer:

  58 km/h

Step-by-step explanation:

Let s represent James's speed. Then s-24 is Kim's speed. The relationship between time, speed, and distance is ...

  d = st

Since the two were traveling in opposite directions, their distance apart is the sum of the distances they drove. James drove for 1.6 more hours than the 1.8 hours Kim drove, so their total distance is ...

  (1.6 +1.8)s +1.8(s -24) = 258.4

  5.2s -43.2 = 258.4 . . . . . . . . . . . . collect terms

  5.2s = 301.6 . . . . . . . . . . . add 43.2

  s = 58 . . . . . . . . . . . divide by 5.2

James drove at 58 km/h.