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Answers
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Answer:
Increase in speed of car so that it could reach the destination by
12 pm=10 km/hr.
Step-by-step explanation:
Given:Timing of start of journey=9 am.
Timing of end of journey for the first case 1=1 pm.
Timing of end of journey for the first case 2=12 pm.
Speed of car 1 in case 1 = 30 km/hr
To find: Increase in speed of car so that it could reach the destination by
12 pm.
Solution:
Let the distance traveled in both cases=x.
CASE 1: Swati starts her journey by car at 9 am and reaches the destination by 1 pm.
Time required to reach the destination in case 1 = 9 am to 1 pm=4 hours.
Therefore,speed of car in case 1=Distance traveled/Time taken.
Speed of car in case 1=(x/4)km/hr
30 =x/4 [GIVEN]
30×4=x
120 km =x
CASE 2: Swati starts her journey by car at 9 am and reaches the destination by 12 pm covering the same distance as in case 1,
Time taken to reach the destination in case 2= 9 am to 12 pm =3 hours.
Therefore,
Speed of car in case 2=Distance traveled/Time taken
Speed of car in case 2=120/3=40 km/hr.
Increase in speed of car so that it could reach the destination by 12 pm
= Speed of car in case 2-Speed of car in case 1
=40 km/hr-30 km/hr
=10 km/hr
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