Direction: Read the following information carefully and answer the given questions: Once a thief had stolen money from the bank, He saw a policeman at a distance of (A)km. The thief started running at a speed of 8Km/hr and the policeman started chasing him. The ratio of the speed of the policeman and the thief is 5:4. After a distance of 8 km, a thief was caught in the market. The policemantook him to the police station at a distance of 480 km away from the market, who drove his car at a speed of (B) km/hr. After (C) hours, The inspector drove his jeep at a speed of 60 km/hr. They meetin the middle of the distance and thepolicemanhands over the thief to the inspector. The speed of a car is 2/3 of the police jeep. After traveling (D)km they saw an accident So he reduced the speed of the jeep by 40℅. Due to this, he reached the destination 2 hourslate. Had the accident taken place (E) km further, it would have been one hour 20 minutes late.
1. A man runs 3 hours with a speed of B km/hr and a woman runs 3 hours with a speed of E km/hr. Then, find the distance traveled by the women is how much percentage is more or less than a man.
A. 40 %
B. 50 %
C. 30 %
D. 60 %
E. None of these
Sol:
From the solution we obtained
B = 40 km/hr E = 60 km/hr
Man — 3*40 == 120 km
Woman — 3*60 = 180 km
180 – 120 == 60
The required percentage = 60/120 * 100 = 50%
2. Ramesh travels (180 * A) km of the total distance. He travels 20℅ of the distance by a car and the remaining 50℅ of the distance by a train and the remaining distance covered in cycle and foot in the ratio 5 : 3. Find the distance covered in the foot.
A. 66 km
B. 48 km
C. 54 km
D. 72 km
E. None of these
Sol:
A —- 2 km
180 * 2 == 360 km
20% of the distance by a car
20% (360) = 72 km
Remaining = 360 – 72 = 288 km
50% of the remaining by train
50% (288) == 144 km
288 – 144 == 144 km
Covers a remaining distance by cycle and foot in the ratio 5 : 3
Distance covered by Foot = 144 * 3/8 = 54 km
3. A bus travels at a speed of (B+14) km/hr without stoppages and it travels at a speed of (B+5) km/hr with stoppages in one hour. How many minutes does the bus stop on an average per hour?
A. 15 minutes
B. 10 minutes
C. 20 minutes
D. 30 minutes
E. None of these
Sol:
B = 40 km/hr
Without stoppage — 40+14 = 54 Km/hr
With stoppage — 40+5 == 45 km/hr
so on One hour Without stoppage it travels = 54
km
with Stoppage = 45 km
Due to the stoppage, the car travels 9 km less.
Time taken to cover 9 km
= 9/54 * 60 = 10 minutes
Hence, the answer is option B.
4. Raju travels C+2 hours more than the time taken by Rithesh to walk X km. If Raju doubles his speed it would take 2 hours less than Rithesh. How much time does Rithesh take to cover X km?
A. 4 hrs
B. 5 hrs
C. 8 hrs
D. 12 hrs
E. None of these
Sol:
From the solutions we obtained,
C =2 hours
Raju c+2 = 4 hrs more than Rithesh
Let,Rithesh covers t hours
Raju covers t+4 hrs
With double the speed (t+4)/2
t – (t+4)/2 = 2
2t – t – 4 = 4
t = 8 hours (Rithesh)
Hence, the answer is option C.
