Time and Distance problems with solutions for bank exams

Time and Distance Problems with Solutions for Competitive Exams

Q.6. A car moves at the speed of 80 km/hr. What is the speed of the car in metres per second ?

Solution: 

$$ Speed =\left(80×{5\over18} \right)m/sec={200\over9}m/sec=22{2\over9}m/se$$

Q.7. Which of the following trains is the fastest?

Solution: 

(A) 25 m/sec

(B) 1500 m/min

(C) 90 km /hr

(D) None of these

$$ 25 \ m/sec=\left(25×{18\over5} \right)km/hr=90 \ km/hr$$

And, 25 m/sec = (25×60) m/min = 1500 m/min. So all the tree speed are equal.

Q.8. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is 

Solution:

$$ Speed = \left(5×{5\over18} \right)m/sec={25\over18}$$

Distance covered in 15 minutes = $$\left({25\over18}×15×60 \right)m=1250 \ m$$

Q.9. A car is running at a speed of 108 kmph. What distance will it cover in 15 second ?

$$ Speed = 108kmph =\left(108×{5\over18} \right)m/sec=30 m\ sec.$$

∴  Distance covered in 15 sec. = (30 × 15) m = 450 m.

Q.10. A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is : 

Solution:

$$ Ratio\ of \ Speed   =\left({550\over60}×{18\over5} \right):\left({33\over45}×60 \right)=30:44=3:4$$

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