Capgemini
Company
Numerical Ability
Time Distance and Speed
A man reaches his office 30 min late, if he walks from his home at 3 km per hour and reaches 40 min early if he walks 4 km per hour. How far is his office from his house?
Options:
(a) 7km
(b) 14km
(c) 5km
(d) 3km
Read Solution (Total 8)
-
- b) 14 km.
Let dist.=x
time taken at 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 km - 11 years agoHelpfull: Yes(34) No(5)
- Shortcut formulae:
Distance=time taken*(product of speeds/difference of speeds)
=(70/60)hrs*(4*3/4-3)
=14 km - 11 years agoHelpfull: Yes(15) No(0)
- s1=3km/hr------->30mins late
s2=4km/hr-------->40mins early,so take
LCM(3km,4km)=12km(as the distance from home to office is constant)
so s1 takes 4hrs,s2 takes 3hrs
siff in times=1hri.e 60mins
total time is70mins(30 mins late+40 mins early)
12kms----------->60mins
x - 11 years agoHelpfull: Yes(2) No(4)
- nmhkjnk,hhc
- 7 years agoHelpfull: Yes(1) No(2)
- b) 14 km.
Let dist.=x
time taken 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 kmb) 14 km.
Let dist.=x
time taken 30 kmph : dist/speed = x/3
time taken 40 kmph : x/4
difference b/t time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 kmb) 14 km.
Let dist.=x
time taken at 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 kmb) 14 km.
Let dist.=x
time taken at 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 kmb) 14 km.
Let dist.=x
time taken at 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 kmb) 14 km.
Let dist.=x
time taken at 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 kmb) 14 km.
Let dist.=x
time taken at 30 kmph : dist/speed = x/3
time taken at 40 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 km - 7 years agoHelpfull: Yes(0) No(4)
- Let dist.=x
time taken at 3 kmph : dist/speed = x/3
time taken at 4 kmph : x/4
difference between time taken : 40-(-30) = 70mins = 70/60 hours.
x/3- x/4 = 70/60
x/12= 7/6
x=14 km - 7 years agoHelpfull: Yes(0) No(0)
- Answer is 5km don't get misleaded
- 6 years agoHelpfull: Yes(0) No(3)
- A speed of 3 km/hr means that you can cover 3km in 1 hour or 60 minutes. That means you can cover 1 km in 60/3 or 20 minutes.
Similarly a speed of 4 km/h means that you can cover a distance of 1 km in 60/4 or 15 minutes.
So you save 5 minutes (20 - 15) to cover 1 km when you increase your speed from 3 kmph to 4 kmph.
Ram is saving 70 minutes in total (30 minutes late vs 40 minutes early).
5 minutes are saved every km.
That means he is travelling 70/5 or 14 km in total. - 4 years agoHelpfull: Yes(0) No(0)
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