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Please help me with this two questions.
1. A lorry has a velocity of 90 km/h. How far does the lorry travel in 3/4 minutes?
2. A motorist travel's from town A to B, 145 km in 3hrs 45 minutes. Find it's average speed?
Please I would like to get the solving to the questions in case of next time. Thank you.
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(1) As you know, 1 hour is 60 minutes.
Hence, 1 minute = of an hour.
Next, 3/4 of a minute is of an hour = = of an hour.
Finally, the distance is the product of the speed by the time, or, in this problem,
= kilometers, in problem (1).
ANSWER. In 3/4 minutes, the lorry travels kilometers.
(2) We want to express the speed of the motorist in kilometers per hour.
THEREFORE, we convert 3 hours 45 minutes to hours:
3 hours 45 minutes = 3 hours = hours = hours.
Next, the speed is the distance divided by the time.
So, in this problem the speed is
= = reduce fraction = = = 38 kilometers per hour.
ANSWER. In this problem, the speed is 38 kilometers per hour.
Solved, with explanations.