Math, asked by Aaity, 11 months ago

Abhishek is planning a journy by ship to Andaman. Andaman trip in itself is an adventure. There are three ports in India from where you can sail to Andaman; Kolkata, Chennai, and Vishakhapatnam. Abhishek did not know the length of journey so he took the help of an expert who helped him by solving a sample mathematical situation related to ships.

The ship covered a certain distance at a uniform speed of ship would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And if the speed of ship were slower by 6km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey.

Answers

Answered by Abhijeet1589
4

The answer is 720 km

GIVEN

The ship covered a certain distance at a uniform speed of ship would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And if the speed of ship were slower by 6km/h, it would have taken 6 hours more than the scheduled time.

TO FIND

Find the length of the journey.

SOLUTION

We can simply solve the above problem as follows;

Let the actual speed of the ship = x km/hr

Actual time taken for arrival = y hours

Distance travelled = speed × time = xy km

In first case;

.Speed of the ship = (x + 6) km/hr

Time of the ship = (y-4) hour

Distance covered = (x + 6) (y-4)

xy = ((x + 6) (y-4)

-4x + 6y - 24 = 0

= -2x + 3y - 12 = 0 (Equation 1)

In second case;

Speed of the ship = (x-6)km/hr

Time of the ship = (y+ 6) hour

xy = (x-6)(y+6)

= 6x - 6y = 36

= x - y -6 = 0 (Equation 2)

Cross multiplying equation 1 and 2

 =  \frac{x}{3 \times  - 6  - ( - 1) \times  - 12 }  =  \frac{ - y}{ - 2 \times  - 1 - 1 \times 3}

= x/-30 = -y/24 = 1/-1

= x = 30 km/hr

y = 24 hours

Distance covered = 30 × 24 = 720 km

Hence, The answer is 720 km

#SPJ1

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