Question
Download Solution PDFIn a 100-km journey, the average speed of S is 40 km/h. He covers the first 60 km in 40 minutes and the next 20 km in 50 minutes. What is his speed in the last 20 km (in km/h)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In a 100-km journey, the average speed of S is 40 km/h. He covers the first 60 km in 40 minutes and the next 20 km in 50 minutes.
Formula Used:
Total time = Time for first 60 km + Time for next 20 km + Time for last 20 km
Calculation:
Time for first 60 km = 40 minutes = 40/60 = 2/3 hours
Time for next 20 km = 50 minutes = 50/60 = 5/6 hours
Average speed = Total distance / Total time
Total time = 100 km / 40 km/h = 2.5 hours
⇒ 2/3 + 5/6 + Time for last 20 km = 2.5
⇒ 4/6 + 5/6 + Time for last 20 km = 2.5
⇒ 9/6 + Time for last 20 km = 2.5
⇒ 1.5 + Time for last 20 km = 2.5
⇒ Time for last 20 km = 2.5 - 1.5
⇒ Time for last 20 km = 1 hour
Speed for last 20 km = Distance / Time
⇒ Speed for last 20 km = 20 km / 1 hour
⇒ Speed for last 20 km = 20 km/h
∴ The correct answer is option (4).
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