The distance between two stations is 300 km. Two motor cyclists start simultaneously fr stations and move towards each other. The speed of one of them is 7 km/hr faster than ether. If the distance between them after 2 hours of their start is 34 km, find the apent motor-cyclistગુડ નાઈટ ટાટા બાય ટેક કેર ઓલ ફ્રેન્ડ
Answers 2
Answer:
The distance between two stations = 300 km
Let the speed of first motorcyclists = x km/h
and speed of second motorcyclists = (x + 7) km/h
Distance covered by the first = 2x km
and distance covered by the second = 2 (x + 7) km = 2x + 14 km
∴
Distance uncovered by them = 300 - (2x + 2x + 14) kms.
According to the condition,
300 - (4x + 14) = 34
⇒
300 - 4x - 14 = 34
⇒
300 - 14 - 34 = 4x
⇒
4x = 300 - 48
⇒
4x = 252
⇒
x
=
252
4
=
63
∴
Speed of the first motorcyclists = 63 km/h
and speed of second = 63 + 7 = 70 km/h
Check. Distance covered by both of them
= 2
×
63 + 2
×
70 = 126 + 140 = 266
Total distance = 300 km.
∴
Distance between them = 300 - 266 = 34 km.
which is given.
Step-by-step explanation:
Hope this helps you
Thank you
-
Author:
amitywero
-
Rate an answer:
0
hope it helps you
Step-by-step explanation:
The distance between two stations = 300 km
Let the speed of first motorcyclists = x km/h
and speed of second motorcyclists = (x + 7) km/h
Distance covered by the first = 2x km
and distance covered by the second = 2 (x + 7) km = 2x + 14 km
∴ Distance uncovered by them = 300 - (2x + 2x + 14) kms.
According to the condition,
300 - (4x + 14) = 34
⇒ 300 - 4x - 14 = 34
⇒ 300 - 14 - 34 = 4x
⇒ 4x = 300 - 48
⇒ 4x = 252 ⇒ x=2524=63
∴ Speed of the first motorcyclists = 63 km/h
and speed of second = 63 + 7 = 70 km/h
Check. Distance covered by both of them
= 2 × 63 + 2 × 70 = 126 + 140 = 266
Total distance = 300 km.
∴ Distance between them = 300 - 266 = 34 km.
-
Author:
kiki87
-
Rate an answer:
14
If you know the answer add it here!
Other related questions that may help you
-
Author:
marvin4jgj
-
Author:
abelkgtn
-
Rate an answer:
8
-
Author:
lázarodlht
-
Rate an answer:
2
-
Author:
césaralexander
-
Author:
jamari
-
Rate an answer:
5
-
Author:
coke zero
-
Rate an answer:
1
