# Louie drives his car 270 kilometers in the same time that derek drives his lancer 250 kilometers, if louie averages 4 kilometers per hour faster than derek, find their rates

Answers: 1

## Answers

Louie drives his car 270 kilometers in the same time that derek drives his lancer 250 kilometers, if...

Iouie: 54 kph

Derek: 50 kph

Step-by-step explanation:

Distance:

Iouie: 270 km

Derek: 250 km

270 km - 250 km = 20 km

Iouie: x + 20

Derek: x

x = 250

Time:

20 km ÷ 4 kph = 5 hours

Rate:

Rate = Distance ÷ Time

Iouie: (x + 20) ÷ 5 = 1/5 x + 4

Derek: x ÷ 5 = 1/5 x

x = 250

1/5 x = 50

Iouie: 50 kph + 4 kph = 54 kph

Derek: 50 kph

To check:

Distance = Rate × Time

Iouie: 54 kph × 5 hours = 270 km

Derek: 50 kph × 5 hours = 250 km

54 kph - 50 kph = 4 kph

answer:

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step-by-step explanation: