Let x be the speed before lunch, hence the distance driven before lunch is equal to 2 x. After lunch his speed is 20 km/hr more than before lunch and is therefore x + 20. The distance after lunch is 3 (x + 20).
The total distance is 460 , hence the equation: 2 x + 3 (x + 20) = 460
Solve the above equation to find speed before lunch x = 80 km/hr
The speed after lunch is 20 km/hr more than before lunch and is therefore equal to 80 km/hr + 20 km/hr = 100 km/hr.
Answers
Let X and Y be two cars starting from points A and B respectively. Let the speed of car X be x km/hr and that of car Y be y km/hr.
Case I When two cars move in the same directions:
Suppose two cars meet at point Q. Then,
Distance travelled by car X=AQ,
Distance travelled by car Y=BQ
It is given that two cars meet in 9 hours.
∴ Distance travelled by car X in 9 hours =9x km.
⇒AQ=9x
Distance travelled by car y in 9 hours =9y km.
⇒BQ=9y
Clearly, AQ−BQ=AB
⇒9x−9y=90 [∵AB=90km]
⇒x−y=10 (i)
Case II When two cars move in opposite directions:
Suppose two cars meet at point P. Then,
Distance travelled by car X = AP,
Distance travelled by car Y = BP
In this case, two cars meet in
7
9
hours.
∴ Distance travelled by car X in
7
9
hours =
7
9
xkm
⇒BP=
7
9
y
Clearly, AP+BP=AB
⇒
7
9
x+
7
9
y=90
⇒
7
9
(x+y)=90
⇒x+y=70 .(ii)
Adding equations (i) and (ii), we get
2x+0=80⇒x=40
Putting in (ii), we get,
y=70−40=30
∴x=40 and y=30.
Hence, the speed of car X is 40 km/hr and speed of car Y is 30 km/hr.
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Step-by-step explanation:
Objectives of management are as follows :-
1. ORGANISATIONAL OBJECTIVE - management is responsible 4 setting achieving objectives 4 the organisation.
➪ SURIVIVAL - management must strive to ensure the survival of the organisation.
➪ PROFIT - management has to ensure that the organisation makes profit.
➪ GROWTH - growth of a business can be measured in terms of sales volume, increase in the no.of employees, the no.of products or increase in capital investmant, etc.
2. SOCIAL OBJECTIVES - every organisation has a social obligation to fulfil.