Amar travelling with 4/9th of his original speed covers 38 km in 100 minutes. Find the catual speed of car.

Options
- 45 kmph
- 36 kmph
- 25.45 kmph
- 50.80 kmph


CORRECT ANSWER : 50.80 kmph

Discussion Board
51.3

we know that
time(hours)=___time(mins)___
60
.: time = __100__= _5_hrs
60 3
then forward, we have to calculate the reduced speed.
s=_d_ .: d=38km and t= 5/3
t
_38_ __38x3__ = _114_=22.8km/r
_5_ = 5 5
3
now, they told that
new speed =4/9s (s actuall)
s= _114_ x _9_= _1026_ = 51.3kmr
5 4 20

Vaishnavi 11-26-2025 06:11 PM

51.3

we know that
time(hours)=___time(mins)___
60
.: time = __100__= _5_hrs
60 3
then forward, we have to calculate the reduced speed.
s=_d_ .: d=38km and t= 5/3
t
_38_ __38x3__ = _114_=22.8km/r
_5_ = 5 5
3
now, they told that
new speed =4/9s (s actuall)
s= _114_ x _9_= _1026_ = 51.3kmr
5 4 20

Vaishnavi 11-26-2025 06:11 PM

Wrong Answer

To find the actual speed of Amar''s car, we need to use the information given about the speed and distance covered. Let''s denote Amar''s original speed as
??
S km/h.

Find the reduced speed: Amar is traveling at
4
9
9
4
?
of his original speed, so his current speed is
4
9
??
9
4
?
S.

Convert the travel time: Amar covers 38 km in 100 minutes. Convert 100 minutes to hours:

100
 minutes
=
100
60
 hours
=
5
3
 hours
100 minutes=
60
100
?
 hours=
3
5
?
 hours
Set up the distance formula: Distance is equal to speed multiplied by time.

Distance
=
Speed
×
Time
Distance=Speed×Time

38
 km
=
(
4
9
??
)
×
5
3
 hours
38 km=(
9
4
?
S)×
3
5
?
 hours
Solve for the original speed
??
S:

38
=
(
4
9
??
)
×
5
3
38=(
9
4
?
S)×
3
5
?


38
=
4
×
5
9
×
3
??
38=
9×3
4×5
?
S

38
=
20
27
??
38=
27
20
?
S

??
=
38
×
27
20
S=38×
20
27
?


??
=
38
×
1.35
S=38×1.35

??
=
51.3
 km/h
S=51.3 km/h

Nihal Ahmed N 07-5-2024 08:27 AM

50.80

given,
case one,d=38km
t=100m=100*1/60hr=5/3hr
so, speed=d/t=38*3/5=22.8kmph
for 4/9th it is at 22.8kmph, then for 8/9th it is 45.6kmph
for 1 part speed is = 22.8/4=5.7kmph
then whole speed is, 45.6+5.7 = 51.3 approx == 50.80

Mohan reddy 07-19-2022 05:55 AM

wrong answer

s=D/T >> 4s/9=(38*60)/100>> s=(38*60*9)/(100*4)>>
s=51.30kmph

Krishna Kumar 05-31-2017 02:56 AM

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