91Ó°ÊÓ

A train of length \(100 \mathrm{~m}\) takes \(1 / 6\) minute to pass over another train \(150 \mathrm{~m}\) long coming from the opposite direction. If the of first train is \(60 \mathrm{~km} / \mathrm{h}\), the speed of the second train is: (a) \(45 \mathrm{~km} / \mathrm{h}\) (b) \(28 \mathrm{~km} / \mathrm{h}\) (c)\(30 \mathrm{~km} / \mathrm{h}\) (d) none of these

Pushpak express leaves Lucknow at 6 am and two hours later another train Bhopal express leaves Lucknow. Both trains arrive Bhopal at \(4 \mathrm{pm}\) on the same day. If the difference between their speeds be \(10 \mathrm{~km} / \mathrm{h}\), what is the average speeds of both the trains over entire route: (a) \(40 \mathrm{~km} / \mathrm{h}\) (b) \(44 \frac{4}{9} \mathrm{~km} / \mathrm{h}\) (c) \(42 \frac{3}{5} \mathrm{~km} / \mathrm{h}\) (d) none of these

two trains \(A\) and \(B\) start simultaneously in the opposite Two train from two points \(P\) and \(Q\) and arrive at their direction fons 16 and 9 hours respectively after their meeting destinations each other. At what speed does the second train \(B\) travel if the travels at \(120 \mathrm{~km} / \mathrm{h}\) per hour : (a)90km/hr (b) 160km/hr (c) 67.5km/hr (d) none of these \(67.5 \mathrm{~km} / \mathrm{h}\)

Two horses start trotting towards each other, one from \(A\) to \(B\) and another from \(B\) to \(A\). They cross each other after one hour and the first horse reaches \(B, 5 / 6\) hour before the second horse reaches \(A\). If the distance between \(A\) and \(B\) is \(50 \mathrm{~km}\). What is the speed of the slower horse? (a) \(30 \mathrm{~km} / \mathrm{h}\) (b) \(15 \mathrm{~km} / \mathrm{h}\) (c) \(25 \mathrm{~km} / \mathrm{h}\) (d) \(20 \mathrm{~km} / \mathrm{h}\)

Abhinav started for the station half a km from his hope walking at \(1 \mathrm{~km} / \mathrm{h}\) to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in \(\mathrm{km} / \mathrm{h}\) : (a) \(1.25\) (b) \(1.1\) (c) \(\frac{11}{9}\) (d) 2

In reaching the Purnagiri a man took half as long again to climb the second third as he did to climb the first third and a quarter as long again for the last third as for the second third. He took altogether 5 hs 50 minutes. Find the rime he spent on the first third of the journey? (a) \(72 \mathrm{~min}\) (b) 80 min (c) \(81 \mathrm{~min}\) (d) 88 min

Walking at four fifth of his usual speed Vijay Malya reaches his office 15 minutes late on a particular day. The next day, he walked at \(5 / 4\) of his usual speed. How early would he be to the office when compared to the previous day? (a) \(27 \mathrm{~min}\) (b) 32 min (c) \(30 \mathrm{~min}\) (d) none of these

Abdul starts in a car from Ahmedabad towards Bangalore. After sometime he realises that he will cover only \(75 \%\) of the distance in the scheduled time and he therefore doubles his speed immediately and thus manages to reach Bangalore exactly on time. Find the time after which Abdul changed his speed, given that he could have been late by 3 hours if he had not changed his speed: (a) \(3 \mathrm{~h}\) (b) \(4 \mathrm{~h}\) (c) \(5 \mathrm{~h}\) (d) \(6 \mathrm{~h}\)

A train met with an accident \(120 \mathrm{~km}\) from station \(A\). It completed the remaining joumey at \(5 / 6\) of its previous speed and reached 2 hours lare at station \(B\). Had the accident taken place \(300 \mathrm{~km}\) further, it would have been only 1 hour late? Whar is the speed of the train? (a) \(100 \mathrm{~km} / \mathrm{h}\) (b) \(120 \mathrm{~km} / \mathrm{h}\) (c) \(60 \mathrm{~km} / \mathrm{h}\) (d) \(50 \mathrm{~km} / \mathrm{h}\)

A boat covers 48 km upstream and 72 km downstream in 12 hours, while it covers \(72 \mathrm{~km}\) upstream and \(48 \mathrm{~km}\) downstrenm in 13 hours. The speed of stream is: (a) \(2 \mathrm{~km} / \mathrm{h}\) (b) \(2.2 \mathrm{~km} / \mathrm{h}\) (c) \(2.5 \mathrm{~km} / \mathrm{h}\) (d) \(4 \mathrm{~km} / \mathrm{h}\)