Jane drives her car at 20kph for 40 km and 40 kph for the next 60 km . What is her average speed for the entire trip?Please help me answer this with clear solutions.?
= (40 + 60)/(40/20 + 60/40)
= 100/(2 + 3/2)
= 100/(4/2 + 3/2)
= 100/(7/2)
= 100(2/7)
= 200/7 or 28 4/7
Answer: 28 4/7 or 28.57 1/7 kilometers per hour (kph)
Driving time in hours:
= 40 km/20 kph + 60 km/40 kph
= 2 hrs + 3/2 hrs
= 4/2 hrs + 3/2 hrs
= 7/2 hrs or 3 1/2 hrs
Distance covered in kilometers:
= 40 km + 60 km
= 100 km
Proof (distance = rate * time):
100 km = 28 4/7 kph * 3 1/2 hrs
100 km = 200/7 kph * 7/2 hrs
100 km = 1,400/14 km
100 km = 100 kmPlease help me answer this with clear solutions.?
Using the weighted-average method,
Average speed = [(40 * 20) + (40 * 60)]/(40 + 60)
Average speed = (800 + 2400)/(100)
Average speed = 3200/100
Average speed = 32 kph
Hope this helps.
average speed is equal to total distance divide total time. We already know total distance: 40+60=100. The time for the first part will be 2 hours, and for the second part it would be 1.5 (One and a half) hours so it is 100/3.5 which is about 28. Thanks hope i helped
Elapsed time for each leg of the trip
20kph for 40 km: 2 hrs
40 kph for the next 60 km: 1.5 hrs
d = rt {we know d %26amp; t}
r = d/t = (40 + 60)/(2 + 1.5) = 100/3.5 = 28.57 {average rate}
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