Lionel and Ursula are both cycling in the direction of

Question

Lionel and Ursula are both cycling in the direction of Fenton on straight roads at constant speeds. Lionel, who is heading north, is currently twice as far away from Fenton as is Ursula, who is cycling to the west. If neither stops nor changes direction in the course of the day, what is the ratio of the speed of Lionel's bike to that of Ursula's? 

(1) In four hours, Lionel and Ursula will both be 10 miles from Fenton. 
(2) In terms of straight line distance, Ursula's bike is currently 25*sqrt(2) miles from Lionel's.

Fig · Answer

I suppose that 'car' in statment 2 is actually 'bike'

(C) for me. As we do not have a relation between the 2 bikes' speeds, we need the time and the distance to infer the speeds and thus the ratio.

yezz · Answer

I think it is equal to the slope of the hypotinus delta y /delta x in the same time interval 

AND I DONT KNOW WHERE TO GO FROM HERE

IS IT THE RIGHT DIRECTION KEVIN???

BEING STUPID HERE IS BETTER THAN BEING STUPID ON THE G DAY

SO EXCUSE ME IF I LOOK TOTALY DUMP

yezz · Answer

FROM THE STEM LET THEIR DISTANCES FROM FEMTOM 

Du = X , Dl = 2x


from one 

in four hours 

U COVERED X-10 IN FOUR HOURS
L COVERED 2X-10 IN FOUR HOURS

Ru = x-10 / 4

Rl = 2x-10 / 4

the ratios will still depend on x........insuff

from two the hypotynus is 25sqrt 2 

thus x^2 +(2x)^2 = (25sqrt 2 )^2 

5x^2 = 1250

thus x = 5 sqrt 10

C IS MY ANSWER

trivikram · Answer

A

Let Sl be speed of Lionel and Su be that of Ursula

Initially Lionel is 2x away from destination and Ursula x miles from destination.

So from (1) in 4 hours noth are x miles away from destination

Su*4 + x = Sl*4 ------(1)

Since time taken is same as 4 hours

(2x -10)/Sl = x-10/Su-----(2)

From 1 and 2 we get the speed ratios

Option B deos not provide anything

So it is A

Fig · Answer

Would u developp more the bold sentence pls?

I cannot figure out a relation that is directly giving Su/Sl = Constant

jainan24 · Answer

After you simplify the two equations it gives 18 = 4Sl + 6(Sl/Su) Thus you can't get the ratios eliminating x from two equations, you definitely need the value of x which you get from statement 2

So answer is C

I wonder what OA is and what is the source of this question, seems to be a challenge question

tennis1ball · Answer

C too.

1) is not enough to get the ratio, coz u dont know the distance.

2) alone is obviously not enough, but it provides the distance.


together, they are sufficient.

Lionel and Ursula are both cycling in the direction of

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