Question 72

Shreya hikes up a hill at 5 mph and comes down at 7 mph. If the total time taken for the two-way journey is 3 hours, what is the distance between the hilltop and the foothill?

Solution

Share

Let's assume the distance between the hilltop and the foothill is 'd' miles.

Shreya hikes up a hill at 5 mph and comes down at 7 mph. If the total time taken for the two-way journey is 3 hours.

$$Average\ speed\ =\ \frac{total\ dis\tan ce\ covered}{total\ time}$$

$$\frac{2\times\ 5\times\ 7}{5+7}\ =\ \frac{d+d}{3}$$

$$\frac{2\times\ 5\times\ 7}{12}=\frac{2d}{3}$$
$$\frac{\ 5\times\ 7}{2}=2d$$
$$\frac{\ 35}{4}=d$$
d = 8.75 miles

So the distance between the hilltop and the foothill is 8.75 miles.

Was this solution helpful?

Get AI Help

View More Questions From Quant

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Free SSC Topicwise Questions

SSC Data InterpretationSSC GeometrySSC Linear EquationsSSC Number SystemsSSC Quadratic EquationsSSC TrigonometrySSC AgesSSC ArithmeticSSC Reading ComprehensionSSC VocabularySSC AnalogySSC Coding DecodingSSC DirectionsSSC Meaningful OrderSSC Number SeriesSSC PuzzlesSSC SyllogismsSSC Words FormationSSC Venn Diagram

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI