Question 30:- 20. Jai and Veeru are very close friends. They decide to visit their friend Thakur living in Ramgarh by their own cars. Jai's car travels at a speed of x km/h while Veeru's car travels 5 km/h faster than Jai's car. Jai took 4 hours more than Veeru to complete the journey of 400 km. Based on the above information, answer the following questions: (ii)Speed of Veeru's Car is (in km/h) 20 25 15 30 Save & Next Save Answer
Answers
Answer:
????????????????????????????????
Solution :-
given that, Jai's car travels at a speed of x km/h .
so,
→ Speed of jai's car = x km/h
→ Distance covered = 400 km
then,
→ Time taken by jai = Distance / speed = (400/x) hours .
and,
→ Speed of Veeru's car = 5 km/h faster than jai's car = (x + 5) km/h
→ Distance covered = 400 km
then,
→ Time taken by Veeru = Distance / speed = (400/x + 5) hours .
A/q,
→ (400/x) - (400/x + 5) = 4
→ {400(x + 5) - 400x} /x(x + 5) = 4
→ 400x + 2000 - 400x = 4x² + 20x
→ 4x² + 20x - 2000 = 0
→ 4(x² + 5x - 500) = 0
→ x² + 5x - 500 = 0
→ x² + 25x - 20x - 500 = 0
→ x(x + 25) - 20(x + 25) = 0
→ (x + 25)(x - 20) = 0
→ x = (-25) or 20
since speed can't be in negative.
therefore,
→ Speed of jai's car = x = 20 km/h .
hence,
→ Speed of Veeru's Car = (x + 5) = 20 + 5 = 25 km/h (Ans.)
Learn more :-
A travels a certain distance with his usual speed. If he reduces his speed by 5 miles per hour, he
reaches 5 hours ate. ...
https://brainly.in/question/40732028
one day , hari walked along a circular track for 3 hours . he then cycled along the track for the time he would take to ...
https://brainly.in/question/40976068