# Time & Distance Quant Quiz for SBI PO PRE 2019 (Day 19) | 22nd February 2019

## Time & Distance Quant Quiz for SBI PO PRE 2019 (Day 19)

Quant Quiz to improve your Quantitative Aptitude for SBI PO & SBI clerk exam quant, IBPS PO quant , IBPS Clerk quant , IBPS RRB quant, and other competitive exams.

Q1. The speed of two trains are in the ratio x : y. They are moving in the opposite directions on parallel tracks. The first train crossed a telegraph pole in ‘a’ seconds where as the second train crossed the same telegraph pole in ‘b’ second. Find the time taken by the train to cross each other completely.

A)

B)

C)

D)

E)

Q2.  Arun and Twinkle can dig a trench 100 m long in 10 and 20 hours respectively. At what distance from Arun should Arun and Twinkle interchange their positions so that they meet exactly at the centre if they start from opposite ends?

A) 33.33m

B) 25m

C) 40 m

D) 27m

E)  None of these

Q3.  Shatabdi express leaves lucknow at 8 : 30 A.M. and expects to reach a place 300 km from Lucknow at 12 : 30 P.M. At 10 : 30 A.M. it was found that it has covered only 40% of the distance. By how much it has to increase the speed, in order to keep up his schedule?

A) 45 km/hr

B) 40 km/hr

C) 30 km/hr

D) 50 km/hr

E) None of these

Q4.  A person sets to cover a distance of 12 km in 45 min. If he covers 3/4 of the distance in 2/3 rd time. What should be his speed to cover the remaining distance in the remaining time?

A) 16 km/hr

B) 18 km/h

C) 12 km/h

D) 14 km/h

E) None of these

Q5.  From 2 places 60 km apart, A and B start towards each other at the same time and meet each other after 12 hours. Had A travelled with 1/3 of his speed and B travelled with 350% of his speed, they would have met after 7.5 hours. The speed of A is

A) 4 km/h

B) 3 km/h

C) 1 km/h

D) 2 km/h

E)  None of these

Q6.  The distance between two stations A and B is 900 km. A train starts from A and moves towards B at an average speed of 30 km/hr. Another train starts from B, 20 minutes earlier than the train at A, and moves towards A at an average speed of 40 km/hr. How far from A will the two trains meet ?

A) 380 km

B) 320 km

C)  240 km

D) 330 km

E) None of these

Q7. Two candles of same height are lighted at the same time. The first is to be consumed in 5 hours and seconds in 4 hours. Assuming that they burn at constant rates, in how many hours their height will be in ratio 3 : 2 ?

A)

B)

C)

D)

E)

Q8.  From 2 places 60 km apart, A and B start towards each other at the same time and meet each other after 6 hours. Had A travelled with 2/3 of his speed and B travelled with double of his speed, they would have met after 5 hours. The speed of A is

A) 4 km/h

B) 6 km/h

C) 10 km/h

D) 12 km/h

E) None of these

Q9.  Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?

A) 15 kmph

B) 35 kmph

C) 30 kmph

D) 25 kmph

E)  20 kmph

Q10.  Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out on their meeting that he had travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrived at A 9 hours later. Find the speed of the faster tourist.

A) 4 km/h

B) 6 km/h

C)  9 km/h

D) 2 km/h

E) None of these

## Solutions

Q1. Ans(C)

Q2. Ans(A)

To meet at centre, they should interchange at half the time that they take together to dig a trench.

Q3. Ans(C)

Q4. Ans(C)

Q5. Ans(B)

Q6. Ans(A)

Q7. Ans(A)

Q8. Ans(B)

Q9. Ans(D)

Q10. Ans(B)

From figure, clearly A is faster as it takes (t + 2) hrs. while B takes (t + 9) hrs.

Hence, speed of faster tourist is 6 kmph.

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