Mary jogs $9$ km at a speed of $6$ km per hour. At what speed would she need to jog during the next $1.5$ hours to have an average of $9$ km per hour for the entire jogging session?

9

kmph

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10

kmph

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12

kmph

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14

kmph

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Solution

The correct option is C $12$ kmph
Let speed of jogging be x km / hr.
Total time taken = $\frac{9}{6} + 1.5 = 3$
Total distance covered= $\frac{9}{6} + 1.5 x$
$∴ \frac{9 + 1.5 x}{3} = 9 \Rightarrow 9 + 1.5 x = 27 \Rightarrow \frac{3}{2} x = 18$
$\Rightarrow x = 12$ km\hr

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Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?

The correct option is C 12 kmphLet speed of jogging be x km / hr.Total time taken =96+1.5=3Total distance covered=96+1.5x∴9+1.5x3=9⇒9+1.5x=27⇒32x=18⇒x=12 km\hr

Mary jogs $9$ km at a speed of $6$ km per hour. At what speed would she need to jog during the next $1.5$ hours to have an average of $9$ km per hour for the entire jogging session?

The correct option is C $12$ kmph
Let speed of jogging be x km / hr.
Total time taken = $\frac{9}{6} + 1.5 = 3$
Total distance covered= $\frac{9}{6} + 1.5 x$
$∴ \frac{9 + 1.5 x}{3} = 9 \Rightarrow 9 + 1.5 x = 27 \Rightarrow \frac{3}{2} x = 18$
$\Rightarrow x = 12$ km\hr