The average speed of a train is 3 times the average speed of a car. The car covers a distance of 520 kms in 8 hours. How much distance will the train cover in 13 hours ?
(a) 2553 km
(b) 2585 km
(c) 2355 km
(d) 2535 km
(e) None of these
Solution: (d)
Speed of car = \(\displaystyle \frac{{dis\tan ce}}{{time}}\)
\(\displaystyle \frac{{520}}{8}=65kmph\)
Speed of train = 65 × 3 = 195 kmph
Distance covered by train in 13 hours = 13 × 195 = 2535 km
Yesterday Shweta completed 300 units of work at the rate of 15 units per minute. Today she completed the same units of work but her speed was 40% faster than yesterday. What is the approximate difference in the time she took to complete the work yesterday and the time she took today ?
(a) 16 minutes
(b) 26 minutes
(c) 46 minutes
(d) 36 minutes
(e) 6 minutes
Solution: (e)
Shweta’s initial speed = 15 units per minute
Shweta’s new speed = \(\displaystyle \frac{{15\times 140}}{{100}}=21units/\min ute\)
Neeraj, Manoj and Geeta start running around a circular stadium and complete one round in 10 seconds, 6 seconds and 14 seconds respectively. In how much time will they meet again at the starting point?
(a) 3 minutes 30 seconds
(b) 2 minutes 28 seconds
(c) 4 minutes 45 seconds
(d) 1 minute 40 seconds
(e) None of these
Solution: (a)
In this type of questions use LCM (Least Common Multiple) Method
Meghana 3.36 km. in four weeks by walking an equal distance each day. How many meters does she walk each day?
(a) 100 m
(b) 60 m
(c) 140 m
(d) 120 m
(e) None of these
Solution: (d)
Distance walked by Meghna = (3.36 × 1000) metres.
Four weeks = \(\displaystyle 4\times 7=28\) days
\(\displaystyle \$ Distance covered in 1 day = \)latex \displaystyle \frac{{3.36\times 1000}}{{4\times 7}}=120m$
A truck covers a distance of 256 km at the speed of 32 km/hr. What is the average speed of a car which travels a distance of 160 km more than the truck in the same time?
(a) 46 km/h
(b) 52 km/h
(c) 49 km/h
(d) 64 km/h
(e) None of these
Solution: (b)
Time taken by the truck = \(\displaystyle \frac{{256}}{{32}}=8hr\)
Distance covered by the car = (256 + 160 =) 416 km
Time = 8 hr
Speed of the car = \(\displaystyle \left( {\frac{{416}}{6}} \right)=52\) km/h
