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A car travels
2(5)/(8) miles in
3(1)/(2) minutes at a constant speed. How far did the car travel in 5 minutes?
3.75 miles
6.67 miles
17.5 miles
13.13 miles

A car travels $2 \frac{5}{8}$ miles in $3 \frac{1}{2}$ minutes at a constant speed. How far did the car travel in $5$ minutes? $\newline$ $3$ . $75$ miles $\newline$ $6$ . $67$ miles $\newline$ $17$ . $5$ miles $\newline$ $13$ . $13$ miles

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Add and subtract decimals: word problems

Full solution

Q. A car travels

2 \frac{5}{8}

miles in

3 \frac{1}{2}

minutes at a constant speed. How far did the car travel in

5

minutes?

\newline

3

.

75

miles

\newline

6

.

67

miles

\newline

17

.

5

miles

\newline

13

.

13

miles

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $2\left(\frac{5}{8}\right)$ becomes $\left(2\times 8+5\right)/8 = \frac{21}{8}$ miles. $3\left(\frac{1}{2}\right)$ becomes $\left(3\times 2+1\right)/2 = \frac{7}{2}$ minutes.
Calculate Speed: Calculate the speed in miles per minute. $\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{21}{8} / \frac{7}{2} = \frac{21}{8} \times \frac{2}{7} = \frac{3}{4}$ miles per minute.
Calculate Distance: Calculate the distance traveled in $5$ minutes. Distance $=$ Speed $*$ Time $= (\frac{3}{4}) \times 5 = \frac{15}{4}$ miles.
Convert to Mixed Number: Convert the improper fraction to a mixed number. $\frac{15}{4}$ miles is $3\frac{3}{4}$ miles, which is $3.75$ miles.

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