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9 votes
Find car A and car B speed in km/h

Find car A and car B speed in km/h-example-1
User Saif Siddiqui
by
2.7k points

1 Answer

23 votes
23 votes

Answer:

  • 72 km/h and 48 km/h

Explanation:

Let the speed of the cars be x and y.

When moving in opposite directions, the speeds add up and when moving in the same direction the speeds subtracted.

Convert time from minutes to hour:

  • 4 minutes = 4*1/60 hr = 1/15 hr
  • 20 minutes = 20*1/60 hr = 1/3 hr

Opposite direction

  • (x + y)*1/15 = 8
  • x + y = 8*15
  • x + y = 120

Same direction

  • (x - y)*1/3 = 8
  • x - y = 8*3
  • x - y = 24

Add up the two equations and find the value of x:

  • x + y + x - y = 120 + 24
  • 2x = 144
  • x = 72

Find y:

  • 72 + y = 120
  • y = 120 - 72
  • y = 48
User Hagbard
by
2.6k points