Directions (1-5): In each of the following questions, two equations (I) and (II) are given. Solve the equations and mark the correct option:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
Q6. Distance between two cities P and Q is 900 km. Car A and Car B can cover the distance between P and Q in ‘X’ hours and (X + 4) hours respectively. If Car B and Car A start from city P at 6.00 am and 8.00 am respectively and both Cars meet at 10.30 am, then find the distance between P and the point where both the cars meet?
(a) 425 km
(b) 475 km
(c) 450 km
(d) 500 km
(e) 400 km
Q8. Amit goes to office from his home by bike at the speed of 30 kmph and he comes back to his home from office by bike at the speed of X kmph. If average speed for whole journey is 33 kmph, then find the value of ‘X’ (nearest to two decimal places)?
(a) 35.56 km/hr
(b) 36.00 km/hr
(c) 36.67 km/hr
(d) 32.50 km/hr
(e) 34.50 km/hr
Q9. A train ‘X’ starts from station P at 8 am and reaches station Q at 4 pm. Another train ‘Y’ started from Q at the same time at which ‘X’ started and reaches ‘P’ at 3 pm. then find the time at which both the trains crossed each other.
(a) 11 : 44 am
(b) 11 : 48 am
(c) 11 : 36 am
(d) 12 : 44 pm
(e) 11 : 50 am
Q10. A car covered a certain distance at a certain speed in a fixed time. If car had moved 9 kmph slower, it would have taken 2 hours more and if it had moved 5 kmph faster, it would have taken 48 min less. Find the distance covered by car?
(a) 300 km
(b) 360 km
(c) 320 km
(d) 400 km
(e) 450 km
Solutions
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