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Question

# Tick (✓) the correct answer: A car takes 2 hours to reach a destination by travelling at 60 km/hr. How long will it take while travelling at 80 km/hr? (a) 1 hr 30 min (b) 1 hr 40 min (c) 2 hrs 40 min (d) none of these

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Solution

## (a) 1 h 30 min Let x h be the time taken by the car travelling at 80 km/hr. Speed (km/h) 60 80 Time (in h) 2 $x$ $\mathrm{The}\mathrm{greater}\mathrm{the}\mathrm{speed},\mathrm{the}\mathrm{lesser}\mathrm{will}\mathrm{be}\mathrm{the}\mathrm{time}\mathrm{taken}.\phantom{\rule{0ex}{0ex}}\mathrm{So},\mathrm{it}\mathrm{is}\mathrm{a}\mathrm{case}\mathrm{of}\mathrm{inverse}\mathrm{proportion}.\phantom{\rule{0ex}{0ex}}\mathrm{Now},60×2=80×x\phantom{\rule{0ex}{0ex}}⇒x=\frac{120}{80}\phantom{\rule{0ex}{0ex}}⇒x=1.5\mathrm{Therefore},\mathrm{the}\mathrm{car}\mathrm{will}\mathrm{take}1\mathrm{h}30\mathrm{min}\mathrm{to}\mathrm{reach}\mathrm{its}\mathrm{destination}\mathrm{if}\mathrm{it}\mathrm{travels}\mathrm{at}\mathrm{a}\mathrm{speed}\mathrm{of}80\mathrm{km}/\mathrm{h}.$

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