Distance, Rate, And Time Word Problems Worksheet With Answers

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1.10 Practice - Distance, Rate, and Time Problems
1. A is 60 miles from B. An automobile at A starts for B at the rate of 20 miles
an hour at the same time that an automobile at B starts for A at the rate of
25 miles an hour. How long will it be before the automobiles meet?
2. Two automobiles are 276 miles apart and start at the same time to travel
toward each other. They travel at rates differing by 5 miles per hour. If they
meet after 6 hours, find the rate of each.
3. Two trains travel toward each other from points which are 195 miles apart.
They travel at rate of 25 and 40 miles an hour respectively. If they start at the
same time, how soon will they meet?
4. A and B start toward each other at the same time from points 150 miles apart.
If A went at the rate of 20 miles an hour, at what rate must B travel if they
meet in 5 hours?
5. A passenger and a freight train start toward each other at the same time from
two points 300 miles apart. If the rate of the passenger train exceeds the rate
of the freight train by 15 miles per hour, and they meet after 4 hours, what
must the rate of each be?
6. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 25 and 35 miles per hour respectively.
After how many hours were they 180 miles apart?
7. A man having ten hours at his disposal made an excursion, riding out at the
rate of 10 miles an hour and returning on foot, at the rate of 3 miles an hour.
Find the distance he rode.
1
Source:
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