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Kevin ran 0.50 the time that Duke ran. If Duke ran 0.1 seconds faster than Bill and Bill ran 7.8 seconds, how fast did Kevin run?

Kevin ran $0$ . $50$ the time that Duke ran. If Duke ran $0$ . $1$ seconds faster than Bill and Bill ran $7$ . $8$ seconds, how fast did Kevin run?

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Add, subtract, multiply, or divide two decimals: word problems

Full solution

Q. Kevin ran

0

.

50

the time that Duke ran. If Duke ran

0

.

1

seconds faster than Bill and Bill ran

7

.

8

seconds, how fast did Kevin run?

Find Bill's Running Speed: First, find out how fast Bill ran. We know Bill ran $7.8$ seconds.
Calculate Duke's Time: Next, since Duke ran $0.1$ seconds faster than Bill, subtract $0.1$ from Bill's time to get Duke's time. So, Duke ran $7.8 - 0.1 = 7.7$ seconds.
Determine Kevin's Time: Now, Kevin ran $0.50$ times the time that Duke ran. So, Kevin's time is $0.50 \times 7.7$ .
Determine Kevin's Time: Now, Kevin ran $0.50$ times the time that Duke ran. So, Kevin's time is $0.50 \times 7.7$ .Do the multiplication: $0.50 \times 7.7 = 3.85$ seconds. So, Kevin ran $3.85$ seconds.

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