20. John and Priya went for a small picnic. After having their lunch Priya
insisted to travel in a motor boat. The speed of the motor boat was 20 km/hr.
Priya being a Mathematics student wanted to know the speed of the current.
So she noted the time for upstream and downstream. She found that for
covering the distance of 15 km the boat took 1 hour morefor upstream than
downstream.
(i) Let speed of the stream be x km/hr. then speed of the motorboat in
upstream will be
(a) 20 km/hr (b) ( 20 + x )km/hr
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(c) (20 – x) km/hr (d) 2 km/hr
(ii) What is the relation between speed distance and time?
(a) speed = (distance )/time
(b) distance = (speed )/time
(c) time = speed X distance
(d) none of these
(iii) Which is the correct quadratic equation for the speed of the current ?
(a) x
2
+30x-200=0 (b) x
2
+20x-400=0
( c ) x2
+30x-400=0 (d) x2
-20x-400=0
(iv) What is the speed of current?
(a) 20 km/hour (b) 10 km/hour
(c) 15 km/hour (d) 25 km/hour
(v) How much time boat took in downstream?
(a) 90 minute (b) 15 minute
(c) 30 minute (d) 45 minute
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