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Time and Distance 1
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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
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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